a common recurrence is: t(n) = 2t(n/2) n what is its solution and what are some algorithms it describes?

Answer

.50

Step-by-step explanation:

by what your looking at 2 x .50 = 1.00

all you do is multiply

Answer:

b.

Step-by-step explanation:

6 times 1/2 is the same thing as 6/1 times 1/2, which is 6/2.

Hope this helps.

Answer:

Option B is the correct option.

Step-by-step explanation:

\( \sf{ \frac{3}{5} = \frac{x - 1}{8} }\)

Apply cross product property

⇒\( \sf{ 5(x - 1) = 3 \times 8}\)

Distribute 5 through the parentheses

⇒\( \sf{5x - 5 = 3 \times 8}\)

Multiply the numbers

⇒\( \sf{5x - 5 = 24}\)

Move 5 to right hand side and change it's sign

⇒\( \sf{5x = 24 + 5}\)

Add the numbers

⇒\( \sf{5x = 29}\)

Divide both sides of the equation by 5

⇒\( \sf{ \frac{5x}{5} = \frac{29}{5} }\)

⇒\( \sf{x = \frac{29}{5} }\)

Hope I helped!

Best regards!!

The sides of ΔFED does AB in ΔABC correspond to:

AB --> EF  = (53°)

BC --> DE =  (37°)

AC --> DF=  (90°)

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the figure:

We have the following information:

ΔABC is similar to ΔFED.

WE have to find the which side in ΔFED does AB in ΔABC correspond to?

Now, According to the question:

ΔABC is similar to ΔFED.

So,

AB --> EF  = (53°)

BC --> DE =  (37°)

AC --> DF=  (90°)

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The volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells is 486π cubic units.

To find the volume generated by rotating the region bounded by the curve y = x about the y-axis using the method of cylindrical shells, we can follow these steps:

First, let's sketch the region bounded by the curve y = x. This is a straight line passing through the origin with a slope of 1. It forms a right triangle in the first quadrant, with the x-axis and y-axis as its legs.

Next, we need to determine the limits of integration. Since we are rotating about the y-axis, the integration limits will correspond to the y-values of the region. In this case, the region is bounded by y = 0 (the x-axis) and y = x.

The height of each cylindrical shell will be the difference between the upper and lower curves. Therefore, the height of each shell is given by h = x.

The radius of each cylindrical shell is the distance from the y-axis to the x-value on the curve. Since we are rotating about the y-axis, the radius is given by r = y.

The differential volume element of each cylindrical shell is given by dV = 2πrh dy, where r is the radius and h is the height.

Now we can express the volume of the solid of revolution as the integral of the differential volume element over the range of y-values:

V = ∫[a, b] 2πrh dy

Here, [a, b] represents the range of y-values that define the region. In this case, a = 0 and b = 9 (as y = x, so the curve intersects y-axis at y = 9).

Substituting t

he values of r and h into the integral, we have:

V = ∫[0, 9] 2πy(y) dy

Simplifying, we get:

V = 2π ∫[0, 9] y^2 dy

Evaluating the integral, we have:

V = 2π [y^3/3] from 0 to 9

V = 2π [(9^3/3) - (0^3/3)]

V = 2π [(729/3) - 0]

V = 2π (243)

V = 486π

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Answer:

Correct (192)

Step-by-step explanation:

The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.

A parallelogram can be:

Therefore we calculate the rectangle of a square, which is a parallelogram.

To start solving, we obtain the following data:

The formula to calculate the area is:

\(\bf{a=b*h }\)

To calculate the area, multiply the base by the height (which is represented in "h")

We clear formula, calculate the area:

\(\bf{A=(16 \ cm)(12 \ cm) \ \ \ ==== > \ Multiply }\)

\(\bf{A=192 \ cm^{2} }\)

Answer: The area of the parallelogram is 192 cm2. So if you're right, it was a rectangle.

column four 8, 15, 40, 45, 52.

Answer:

It's C. With more trials, the frequency of heads up will equal the frequency of tails up.

Step-by-step explanation:

edge

On solving the provided question ,we can say that As a result, the pie chart's slice representing sleep has a 45 degree centre angle

A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.

We must first determine the percentage of the 24 hours that Burt slept in order to determine the size of the centre angle of the slice of the pie chart that represents sleep.

Burt slept for three hours out of a total of twenty-four, thus this is how much time he slept:

3/24 = 1/8

We need to multiply this ratio by 360 degrees (the total number of degrees in a circle) to determine the centre angle of the slice indicating sleep:

1/8 times 360 equals 45 degrees.

As a result, the pie chart's slice representing sleep has a 45 degree centre angle.

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The measure of the central angle, in degrees, of the slice of the pie chart representing sleep is 45 degrees.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

To calculate the measure of the central angle representing sleep in the pie chart, we need to determine what fraction of the 24 hours Burt spent sleeping.

Burt slept for 3 hours out of 24, so the fraction of time he spent sleeping is:

3 / 24 = 1 / 8

To convert this fraction into an angle, we use the formula:

angle = fraction * 360 degrees

So, the central angle representing sleep in the pie chart would be:

angle = (1 / 8) * 360 degrees = 45 degrees

Therefore, the measure of the central angle, in degrees, of the slice of the pie chart representing sleep is 45 degrees.

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On solving the provided question, we can say that In light of this, the lowest common denominator of the equation is (x - 4)(x + 1)(x - 2) (x - 2)

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

equation is given as:

x2 — 3x — 4 = x2 — Ox + 8

x2 — 4x + x — 4 =

x(x — 4) + I(x — 4)

Factor out x - 4

(x + I)(x — 4) = x-2(x-4)

The common factor between the two sides of the equation is x – 4.

In light of this, the lowest common denominator is (x - 4)

(x + 1)(x - 2) (x - 2)

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Este es un problema clásico de álgebra lineal que se puede resolver mediante un sistema de ecuaciones lineales.

Si definimos "a" como el número de aves y "b" como el número de bestias, entonces podemos plantear las siguientes ecuaciones:

a + b = 60 (porque el número total de animales es de 60)

2a + 4b = 200 (porque el número total de patas es de 200)

Podemos resolver este sistema de ecuaciones de varias maneras, pero aquí hay un ejemplo de cómo hacerlo por el método de sustitución:

Despejar "a" en la primera ecuación:

a = 60 - b

Sustituir "a" en la segunda ecuación:

2(60 - b) + 4b = 200

Resolver para "b":

120 - 2b + 4b = 200

2b = 80

b = 40

Sustituir "b" en la primera ecuación para encontrar "a":

a + 40 = 60

a = 20

Por lo tanto, hay 20 aves y 40 bestias en el zoológico.

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The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

An introduction of sets and its definition in mathematics. The collection of well-defined distinct objects is known as a set. ... The word well-defined refers to a specific property which makes it easy to identify whether the given object belongs to the set or not.

Answer:

Not sure but if you enter gizmos you will get the answer. Maybe.

Step-by-step explanation:

The example of real life problems:
1. Real-life example: Using a function to calculate taxi fare based on distance traveled.

2. Helping a friend: Guiding them through examples and providing explanations and resources for solving operations on functions.

The explanation for the above

1. In a real-life scenario, functions can be used to solve practical problems. For example, when calculating the cost of a taxi ride, a function can be defined where the input (distance traveled) is multiplied by the cost per kilometer.

By plugging in the distance value into the function, the output will provide the total cost of the ride. This allows for a systematic and consistent way to determine the fare based on distance.

2. When helping a friend solve operations on functions, it's important to ensure they have a solid understanding of the fundamental concepts of functions.

Once that foundation is established, guiding them through examples is crucial. By explaining each step involved in performing operations on functions, such as addition, subtraction, multiplication, and composition, the friend can gain clarity and build confidence in their ability to solve function-related problems.

Encouraging questions, providing demonstrations, and offering additional resources further support their learning journey. The goal is to empower the friend with the knowledge and skills to independently solve operations on functions.

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Answer:

1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is

2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to

3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?

4. Which expression is equivalent to cos P cos 50 - sin P sin 50?

5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?

7. Which equation could be represented by the graph below?

8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are

9. Which diagram represents an angle of 7/4 pi; radians in standard position?

Step-by-step explanation:

Answer:

The one with the √

Step-by-step explanation:

If it has a √ it always means its irrational

Hope this helps!

The graph would show the points P, Q, R, and S at their respective locations based on their coordinates (x, y).

Tamera graphs the following points on a coordinate plane:

P(3, -4)

Q(-7, 2)

R(5, 3)

S(6, -1)

These points represent the coordinates of four distinct locations on the plane. Each point is represented by an ordered pair (x, y), where the first value represents the x-coordinate and the second value represents the y-coordinate.

For example, the point P(3, -4) means that the x-coordinate is 3 and the y-coordinate is -4. Similarly, the point Q(-7, 2) has an x-coordinate of -7 and a y-coordinate of 2.

By plotting these points on a coordinate plane, Tamera would mark the location of each point using the respective x and y values. This helps visualize the positions of the points relative to each other and the axes of the plane.

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Answer:

= − 3

Step-by-step explanation:

− 4 ( 1 0 + 3 ) − ( + 8 ) = − 9

put it in the desmos calculator it should help.

Answer:

no solutions

Step-by-step explanation:

x-2=7+x

Subtract x from each side

x-2-x = x+7-x

-2 =7

This is never true so there are no solutions

The given options A (line) and B (ray) are correct.The one-dimensional figures that have infinite length are lines and rays.  

A line can be described as a one-dimensional geometric figure consisting of infinitely many points extending in two directions. It is straight and can be distinguished from a line segment, which connects two points.

A line has no end and extends indefinitely in both directions.

A ray is a one-dimensional geometric figure that consists of one initial point and extends infinitely in only one direction. It is referred to as half-line in geometry.

So, the correct answers are: A. Line B. Ray.

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To calculate the probabilities, we need to use the concept of binomial probability.

For a fair coin being tossed 5 times:

(a) Probability of getting five heads:

The probability of getting a head in a single toss is 1/2.

Since each toss is independent, we multiply the probabilities together.

P(Head) = 1/2

P(Tails) = 1/2

P(Five Heads) = P(Head) * P(Head) * P(Head) * P(Head) * P(Head) = \((1/2)^5\) = 1/32 ≈ 0.03125

So, the probability of obtaining five heads is approximately 0.03125 or 3.125%.

(b) Probability of getting four heads:

There are five possible positions for the four heads.

P(Four Heads) = (5C4) * P(Head) * P(Head) * P(Head) * P(Head) * P(Tails) = 5 * \((1/2)^4\) * (1/2) = 5/32 ≈ 0.15625

So, the probability of obtaining four heads is approximately 0.15625 or 15.625%.

(c) Probability of getting one head:

There are five possible positions for the one head.

P(One Head) = (5C1) * P(Head) * P(Tails) * P(Tails) * P(Tails) * P(Tails) = 5 * (1/2) * \((1/2)^4\) = 5/32 ≈ 0.15625

So, the probability of obtaining one head is approximately 0.15625 or 15.625%.

For a fair die being thrown eight times:

(a) Probability of a 6 occurring six times:

The probability of rolling a 6 on a fair die is 1/6.

Since each roll is independent, we multiply the probabilities together.

P(6) = 1/6

P(Not 6) = 1 - P(6) = 5/6

P(Six 6s) = P(6) * P(6) * P(6) * P(6) * P(6) * P(6) * P(Not 6) * P(Not 6) = \((1/6)^6 * (5/6)^2\) ≈ 0.000021433

So, the probability of rolling a 6 six times is approximately 0.000021433 or 0.0021433%.

(b) Probability of a 6 never happening:

P(No 6) = P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) * P(Not 6) = \((5/6)^8\) ≈ 0.23256

So, the probability of not rolling a 6 at all is approximately 0.23256 or 23.256%.

(c) Probability of an odd number of 6s:

To have an odd number of 6s, we can either have 1, 3, 5, or 7 6s.

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

\(P(One 6) = (8C1) * P(6) * P(Not 6)^7 = 8 * (1/6) * (5/6)^7P(Three 6s) = (8C3) * P(6)^3 * P(Not 6)^5 = 56 * (1/6)^3 * (5/6)^5P(Five 6s) = (8C5) * P(6)^5 * P(Not 6)^3 = 56 * (1/6)^5 * (5/6)^3P(Seven 6s) = (8C7) * P(6)^7 * P(Not 6) = 8 * (1/6)^7 * (5/6)\)

P(Odd 6s) = P(One 6) + P(Three 6s) + P(Five 6s) + P(Seven 6s)

Calculate each term and sum them up to find the final probability.

After performing the calculations, we find that P(Odd 6s) is approximately 0.28806 or 28.806%.

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n + 2 < 6

make n the subject of the formula

n < 6 -2

n<4

answer is n<4

Answer:

I am in middle school... Like I mean Brueh.

So (-2+3)²+5 is 6

and...

(0+3)²+5 is Right 14

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

You do P first

So...

(-2+3)²+5

1²+5

1+5

6

Also...

(0+3)²+5

3²+5

9+5

14

The number of candies is 7,and the number of pretzels is 6 that Shaquana bought.

Given:

Shaquana and her children went into a movie theater and she bought $53 worth of candies and pretzels.

Each candy costs $5 and each pretzel costs $3. She bought a total of 13 candies and pretzels altogether.

Let x be the number of candies and y be the number of pretzels.

x + y = 13

x = 13 - y

5x + 3y = 53

susbstitute x value, we get

5(13 - y) + 3y = 53

-5y + 65 + 3y = 53

-2y = 53 - 65

-2y = -12

divide by -2 on both sides

y = -12/-2

y = 6 pretzels

x = 13 - y

= 13 - 6

= 7 candies .

Therefore the number of candies is 7,and the number of pretzels is 6 that Shaquana bought.

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Answer:

The amount of sales tax collected is $78.35

Step-by-step explanation:

Percentages

The gross receipts for the day were $1645.35, including a 5% sales tax.

If a percentage is already included (added) to a certain quantity, then it's not the original quantity or 100%.

The problem states that the gross receipts already include a 5% sales tax, thus the receipts are 100+5=105% of the net sales.

This means the net sales were $1645.35 / 105 * 100 = $1567

Subtracting $$1645.35 - $1567 = $78.35 we get the amount of sales tax.

The amount of sales tax collected is $78.35

Answer:

you can answer this by making an equstion

Step-by-step explanation:

Answer:

✔All fractions have a numerator and a denominator.

✔A fraction represents a single value.

✔The denominator tells the total number of parts a whole is divided into.

❌The numerator tells the total number of parts a whole is divided into.

✔A fraction is the representation of a number as parts of a whole.

Step-by-step explanation:

correct on edge

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